Question

PLEASE HELP!
Determine if the statement below is true or false.
If it is false, rewrite it so it is true.

Rewriting sqrt of -10 in terms of i results in -10i​

A. This statement is true
B. This statement is false. Rewriting sqrt of -10 in terms of i results in sqrt of 10i
C. This statement is false. Rewriting sqrt of -10 in terms of i results in sqrt of -10i
D. This statement is false. Rewriting sqrt of -10 in terms of i results in 10i​

Answer 1

Answer:

B

Step-by-step explanation:

So we have the expression:

$\sqrt{-10}$

And we want to rewrite it in terms of i. Recall that i is:

$i=\sqrt{-1}$

Therefore, we can simplify the expression as:

$\sqrt{-10}=\sqrt{-1\cdot10}=\sqrt{-1}\cdot\sqrt{10}=i\sqrt{10}$

Therefore, the statement given is not correct.

And the correct answer is B.